QUESTION 14The test for screening donated blood for the presence,of the AIDS virus was developed in the 1980s. It is designed to detect antibodies, substancesproduced by the body of donors carrying the virus, however it is not 100% accurate. The developer of the test claimed that the test would produce fewerthan 5% false positives and fewer than 1% false negatives. In order to evaluate the accuracy of the test 1000 persons known to have AIDS and 10,000persons known to not have aids were given the test. The following results were tabulated:True State of PatientTest ResultHas AidsDoes Not Have AidsTotalPositive Test9975301,527Negative Test3.9,4709,473Total1,00010,00011,000 Test ResultHas AldSPositive Test9975301,527Negative Test3.9.470-9,473Total1,00010,00011,000Is there significant evidence (a=0.01) that the test produces more than 5% false positives. Report your conclusionO No, there is insufficient evidence that the test produces more than 5% false positivesThe conclusion depends on which test method alternative that is usedYes, there is significant evidence that the test produces more than 5% false positives

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Is there significant evidence (a=0.01) that the test produces more than 5% false positives. Report your conclusion O No, there is insufficient evidence that the test produces more than 5% false positives O The conclusion depends on which test method alternative that is used O Yes, there is significant evidence that the test produces more than 5% false positives